34. Business: demographics. The density of students living in a region near a university is modeled by P(x, y) = 9 – x² – y², where x and y are in miles and p is the number of students per square mile, in hundreds. Assume the university is located at (0, 0) in the following graph rep- resenting the region. [6.6] YA (0, 2) (0, 0) (2, 0) x a) Find the number of students who live in the region. b) Find the average number of students per square mile of the region.

Q: 4. Consider the level curves for f(x, y) below X

A: given

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if a is the…

A:

Q: he productivity of a certain country with the utilization of x units of labor and y units of capital…

A: Given:- The productivity of a certain country with the utilization of the x units of labor and y…

Q: Suppose that the price p of a product and its demand x are related through the price-demand equation…

A: The price –demand equation is

Q: 3. When r thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A:

Q: Identify the bisubstrate reaction type represented by the curve below. B is with some starting…

A:

Q: Find the local minimum value of f(x, y) = 4 + x° + y° – 9xy. ::

A:

Q: 7. Find the global maximum and global minimum of the function f(z, y) = y² – 2zy+4y on the square 1…

A: According to the given information it is required to calculate the global maximum and minimum of the…

Q: An electronics company's profit P(x, y) from making x DVD players and y CD players per day is given…

A:

Q: 3. Suppose a production function is given by F(K, L) KL2; the price of capital is $10 and the price…

A:

Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is…

A:

Q: 116. Let y = (x - a)? + (x – b)?. For what value of x is y a minimum?

A: Points of relative extrema can be determined by computing the first derivative and setting it to…

Q: Suppose the demand for a product is given by 2p3q = 500,000p2 where p is price in dollars and q is…

A:

Q: A certain factory using x do-dads and y widgets per hour will produce: T(x, y) = 20x?y thingamabobs…

A: A certain factory using x do-dads and y widgets per hour will produce: T(x,y)=20x2y thingamabobs per…

Q: 22 + 3. s the maximum value of f (z) on the square z = x + iy for –1< x, y < 0.

A:

Q: 2. Find the equation of the linear function z = c+mx+ny whose graph contains the points (0,0, 0),…

A: We solve only one problem at a time so please submit them one by one for fast and thorough answers.

Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

A: Given: A cafe estimates a monthly profit, P(x, y)=27-x2-y2+6y and the region D=x, y∈ℝ2 : x2≤y≤4. To…

Q: suppose that the price p of a product and its demand x are related through the price-demand equation…

A: Given that the price-demand equation is x+400p=8000 To find the point intersection with the axes we…

Q: The Cobb-Douglas production function for a particular product is N(x,y) = 80x°y3 where x is the…

A:

Q: 16. Let h(x, y) = xy – 2x². Find the minimum and maximum values of h on the rectangle where 0 < x <…

A:

Q: 4. Suppose the produetivity of a country can be approximated by: Y(L, K) = 10L0 K®9 where L is units…

A: Topic - derivative Marginal productivity Of anything is the change in output when one unit of that…

Q: Suppose that the cost, in dollars, for a company to produce z pairs of a new line of jeans is C(z) =…

A:

Q: A recently released film has its weekly revenue given by 90t R(t) = 2 + 49* tz 0 where R(t) is in…

A: Aap per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: For the following curves of bioavailability study of 3 drugs (A, B and C). 5.5 C 4.5 4 B 3.5 3 3 4…

A: Given

Q: Draw the level curves of f(x,y)= x² + 9y² for k=0, k=1, k=9.

A: Given curve is, fx,y=x2+9y2

Q: 1. The area of the region enclosed by the x-axis, the curve y = f(x) > 0, and the lines x = to f³(b)…

A:

Q: draw the scatter graph of this set of data X Y 10 1 20 3 40 4 50 5 30 2

A: The following data values are given. x y 10 1 20 3 40 4 50 5 30 2

Q: 6. Find and classify all the critical points of the following. No need to sketch the graph. (a) f(z,…

A:

Q: What is the minimum value of the function f(x, y) on the set D = {(x, y) | 16z² + y² < 1}? = e…

A:

Q: 3. To understand the spacing between fish in a school or birds in a flock, scientists have defined…

A:

Q: or the egion bounded by the graphs or the equations. Use a graphing ucility to y = e", y = 0, x = 1,…

A: Given Region bounded by  y=ex , y=0  , x=1 and x=3

Q: Determine the maximum and minimum points of the given functions below. h(z)=4z3−3z2+9z+12

A:

Q: In x is 2. A relative maximum value of the function y = (C) (D) (E) none of these (A) 1 (В) e

A:

Q: 6. Find and classify all the critical points of the following. No need to sketch the graph. (a) f(r,…

A:

Q: 5. Find the marginal product of labor (1) and the marginal product of capital (k) for the 0.6…

A: We have to find the marginal product of labor (l) and the marginal product of capital (k) for the…

Q: For y> 0, find the minimum value of + 10 +5y2 5 y2

A:

Q: Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A}…

A: y2=2x-2 bounded by y=x-5

Q: Suppose f(x, y) = x² + y² – 6x and Dis the closed triangular region with vertices (6, 0), (0, 6),…

A: Given,                             f(x, y)=x2+y2-6x                                  (1)and D is…

Q: Suppose the demand for a product is given by 2p3q=500,000+500p2 where p is the price in dollars and…

A:

Q: What is the minimum value of the function f (x, y) = e*y on the set D = {(x, y) | 16x? + y² < 1}?…

A: Given function is fx,y=e-xy  on the set D=x,y: 16x2+y2=1

Q: Suppose the production function for a product is z = 55x2/5y3/5 where x is the capital expenditures…

A:

Q: 3. When x thousand dollars are spent on labor and y thousand dollars on equipment, the output of a…

A:

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x-3x + 229, wherer represents…

A: Given that the marginal cost function is Cx=0.01x2-3x+229 and a marginal revenue function is given…

Q: Refer to the graph above. The Gini for Hungary is 0.31 and for Brazil it is 0.60. Using the line of…

A: X - Axis has percentage of Total Population. Y - Axis has percentage of Total Income. Now, Brazil…

Q: 3- Since the D x=1 line is a region bounded by the x-axis and the graph of the y= x^(1/2) function,…

A: y = x^(1/2) is a parabola with vertex (0,0). Draw it and solve it.

Q: (c) Suppose that two of the pipes become blocked so that x3 = 0 and x1 = 0. Determine the flow rates…

A: Topic - flow diagram

Q: Help me please

A: By using integration.

Q: (5) Suppose that A = {(x, y) = R²|x² + y² = 0 or 1 < x² + y² ≤ 4}, then (1, 1) is ( (B) accumulation…

A: Given A=x,y∈R2|x2+y2=0 or 1&lt;x2+y2≤4. We have to find the correct answer among the given options.…

Q: 16. A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x)…

A: We need to find P(x).